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Finding the Fourth Proportional to 965.71, 1,330.75 and 699.69

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Solution

The fourth proportional to 965.71, 1,330.75 and 699.69 is: 964.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.71 : 1,330.75 = 699.69 : x
  2. Step 2: Convert to fraction form
    965.71/1,330.75 = 699.69/x
  3. Step 3: Cross multiply
    965.71x = 1,330.75 × 699.69
  4. Step 4: Simplify right side
    965.71x = 931,112.47
  5. Step 5: Solve for x
    x = 931,112.47/965.71
  6. Step 6: Final answer
    x = 964.17

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.